Question

The number of newly reported crime cases in a county in New York State is shown inthe accompanying table, where x represents the number of years since 2003, and yrepresents number of new cases. Write the linear regression equation that representsthis set of data, rounding all coefficients to the nearest hundredth. Using thisequation, estimate the calendar year in which the number of new cases would reach670.

Answer 1

Using a linear regression calculator

see the attached figure

please wait a minute

the equation is

ŷ = -26.51X + 834.95

see the attached image of the question

Final answer

For y=670

substitute the value of y in the equation

670=-26.51x+834.95

solve for x

26.51x=834.95-670

26.51x=164.95

x=6.2 years

therefore

2003+6=2009

the final answer is year 2009